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Finding the Fourth Proportional to 121.80, 181.52 and 117.88

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Solution

The fourth proportional to 121.80, 181.52 and 117.88 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.80 : 181.52 = 117.88 : x
  2. Step 2: Convert to fraction form
    121.80/181.52 = 117.88/x
  3. Step 3: Cross multiply
    121.80x = 181.52 × 117.88
  4. Step 4: Simplify right side
    121.80x = 21,397.58
  5. Step 5: Solve for x
    x = 21,397.58/121.80
  6. Step 6: Final answer
    x = 175.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.